TSTP Solution File: LCL443-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL443-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:48:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(resolution,[],[f65,f33]) ).

fof(f33,plain,
    ~ c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f32,f10]) ).

fof(f10,plain,
    ~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f2,f8]) ).

fof(f8,axiom,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | ~ c_in(X3,c_PropLog_Othms(c_insert(X0,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).

fof(f32,plain,
    ! [X16] :
      ( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X16,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(v_q,c_PropLog_Othms(c_insert(X16,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f16,f7]) ).

fof(f7,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f16,plain,
    ! [X10,X11,X8,X9,X12] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X8,X12,X11),c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11))
      | ~ c_in(X8,c_PropLog_Othms(c_insert(X9,X10,tc_PropLog_Opl(X11)),X11),tc_PropLog_Opl(X11))
      | c_in(X12,c_PropLog_Othms(c_insert(X9,X10,tc_PropLog_Opl(X11)),X11),tc_PropLog_Opl(X11)) ),
    inference(resolution,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X4,X5] :
      ( c_in(X0,c_PropLog_Othms(c_insert(X5,X4,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
      | ~ c_in(X0,c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

fof(f65,plain,
    ! [X18] : c_in(X18,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X18,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f46,f6]) ).

fof(f6,axiom,
    c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
      | c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X0,X2),X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    inference(resolution,[],[f24,f4]) ).

fof(f24,plain,
    ! [X16,X14,X15,X13] :
      ( ~ c_in(X14,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X14,X13,X15),X16,tc_PropLog_Opl(X15)),X15),tc_PropLog_Opl(X15))
      | c_in(X13,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X14,X13,X15),X16,tc_PropLog_Opl(X15)),X15),tc_PropLog_Opl(X15)) ),
    inference(resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X2,X6,X7] : c_in(X6,c_insert(X6,X7,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f14,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X1,tc_PropLog_Opl(X2))
      | c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    inference(resolution,[],[f1,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL443-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 02:16:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.54  % (18925)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (18941)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (18924)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (18933)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (18940)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56  % (18932)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56  % (18925)Instruction limit reached!
% 0.20/0.56  % (18925)------------------------------
% 0.20/0.56  % (18925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (18925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (18925)Termination reason: Unknown
% 0.20/0.56  % (18925)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (18925)Memory used [KB]: 5500
% 0.20/0.56  % (18925)Time elapsed: 0.116 s
% 0.20/0.56  % (18925)Instructions burned: 8 (million)
% 0.20/0.56  % (18925)------------------------------
% 0.20/0.56  % (18925)------------------------------
% 0.20/0.57  TRYING [4]
% 0.20/0.58  % (18940)First to succeed.
% 0.20/0.58  % (18940)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (18940)------------------------------
% 0.20/0.58  % (18940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (18940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (18940)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (18940)Memory used [KB]: 895
% 0.20/0.58  % (18940)Time elapsed: 0.146 s
% 0.20/0.58  % (18940)Instructions burned: 6 (million)
% 0.20/0.58  % (18940)------------------------------
% 0.20/0.58  % (18940)------------------------------
% 0.20/0.58  % (18917)Success in time 0.216 s
%------------------------------------------------------------------------------